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earnstyle [38]
3 years ago
13

Solve each system by substitution.

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0
This how you set the equation up.
2x + 6 = 3x + 7 
Subtract 6 from both sides.
2x = 3x + 1
Subtract 3x from both sides.
-1x = 1
Divide.
x = -1.
Now solve for y by plugging in the variable.
y = 2(-1) + 6
y = -2 + 6
y = 4
So your solution is (-1,4).
I hope this helps love! :)
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Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced
mylen [45]

Answer:

x=119119,\;\;\;y=119119

Step-by-step explanation:

Let the x be the first number, y be the second number and p be the product of the first and second number.

i.e  x+y=238238   \Rightarrow x=238238-y

      p=xy

   \Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2

\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119

Now,

x=238238-119119\\\\ \Rightarrow x=119119

Hence, x=119119,\;\;\;y=119119

   

8 0
2 years ago
Write an equation of the translated function of the parent function f(x)=|x| with the following transformations:
MrRa [10]

Answer:

Option b

Step-by-step explanation:

To write the searched equation we must modify the function f (x) = | x | in the following way:

1. Do y = f(x + 4)

This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.

y = | x +4 |

2. Do y = f (\frac{1}{4}x)

This operation horizontally expands the function f (x) = | x | in a factor of 4 units. y = |\frac{1}{4}x + 1|

3. Do y = f(x)-4

This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

y = |\frac{1}{4}x +1| -4

4. After these transformations the function f(x) = | x | it looks like:

f(x) = |\frac{1}{4}x +1| -4

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)

f(-4) = |\frac{1}{4}(-4) +1| -4 = -4

8 0
3 years ago
Which of the following is a solution of x2 + 4x + 25?
blondinia [14]
Solve for x:
x^2 + 4 x + 25 = 0     I ssume that's the notation.
Subtract 25 from both sides:
x^2 + 4 x = -25
Add 4 to both sides:
x^2 + 4 x + 4 = -21
Write the left hand side as a square:
(x + 2)^2 = -21
Take the square root of both sides:
x + 2 = i sqrt(21) or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
x = i sqrt(21) - 2 or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
Answer: x = i sqrt(21) - 2 or x = -i sqrt(21) - 2
5 0
2 years ago
First discovered more than 30 years ago, Lina’s sunbird, a four-and-a-half-inch animal found in the Philippines and that resembl
Arlecino [84]

Answer: the correct one is C) found in the Philippines and resembling

Step-by-step explanation:

To maintain parallelism, you must list items with equal grammatical structure.

"Found" is just an adjective that modifies the animal, and so is "resembling." Sure, they don't sound the same, but they're both adjectives.  

4 0
3 years ago
What is the answer for this math problem 4-4×7+3=
Varvara68 [4.7K]
4-4*7+3=4-28+3=-24+3=-21
8 0
3 years ago
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